Search a number
-
+
12287040 = 263512799
BaseRepresentation
bin101110110111…
…110001000000
3212010020122120
4232313301000
511121141130
61115204240
7206303163
oct56676100
925106576
1012287040
116a32487
124146680
13271284c
1418bbada
15112a910
hexbb7c40

12287040 has 56 divisors (see below), whose sum is σ = 39014400. Its totient is φ = 3276288.

The previous prime is 12287017. The next prime is 12287057. The reversal of 12287040 is 4078221.

12287040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12287040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5440 + ... + 7359.

Almost surely, 212287040 is an apocalyptic number.

12287040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12287040 is an abundant number, since it is smaller than the sum of its proper divisors (26727360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12287040 is a wasteful number, since it uses less digits than its factorization.

12287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12287040 is about 3505.2874347192. The cubic root of 12287040 is about 230.7539217195.

The spelling of 12287040 in words is "twelve million, two hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 12799 25598 38397 51196 63995 76794 102392 127990 153588 191985 204784 255980 307176 383970 409568 511960 614352 767940 819136 1023920 1228704 1535880 2047840 2457408 3071760 4095680 6143520 12287040